72877005256009 has 2 divisors, whose sum is σ = 72877005256010. Its totient is φ = 72877005256008.

The previous prime is 72877005255913. The next prime is 72877005256063. The reversal of 72877005256009 is 90065250077827.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51899460240384 + 20977545015625 = 7204128^2 + 4580125^2 .

It is a cyclic number.

It is not a de Polignac number, because 72877005256009 - 2¹³ = 72877005247817 is a prime.

It is a super-2 number, since 2×72877005256009² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72877005256309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36438502628004 + 36438502628005.

It is an arithmetic number, because the mean of its divisors is an integer number (36438502628005).

Almost surely, 2^{72877005256009} is an apocalyptic number.

It is an amenable number.

72877005256009 is a deficient number, since it is larger than the sum of its proper divisors (1).

72877005256009 is an equidigital number, since it uses as much as digits as its factorization.

72877005256009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14817600, while the sum is 58.

The spelling of 72877005256009 in words is "seventy-two trillion, eight hundred seventy-seven billion, five million, two hundred fifty-six thousand, nine".